TSTP Solution File: AGT028^1 by Satallax---3.5
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- Process Solution
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% File : Satallax---3.5
% Problem : AGT028^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 12:03:40 EDT 2022
% Result : Theorem 7.38s 7.60s
% Output : Proof 7.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT028^1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 07:08:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.38/7.60 % SZS status Theorem
% 7.38/7.60 % Mode: mode8a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=3.:SINE_DEPTH=0
% 7.38/7.60 % Inferences: 3197
% 7.38/7.60 % SZS output start Proof
% 7.38/7.60 thf(ty_mu, type, mu : $tType).
% 7.38/7.60 thf(ty_r4, type, r4 : ($i>$i>$o)).
% 7.38/7.60 thf(ty_eigen__0, type, eigen__0 : $i).
% 7.38/7.60 thf(ty_john, type, john : mu).
% 7.38/7.60 thf(ty_good_in_maths, type, good_in_maths : (mu>$i>$o)).
% 7.38/7.60 thf(ty_maths_teacher, type, maths_teacher : (mu>$i>$o)).
% 7.38/7.60 thf(sP1,plain,sP1 <=> ((maths_teacher @ john) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])).
% 7.38/7.60 thf(sP2,plain,sP2 <=> (sP1 => (![X1:$i]:(((r4 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])).
% 7.38/7.60 thf(sP3,plain,sP3 <=> (![X1:mu]:(~((![X2:$i]:(((r4 @ eigen__0) @ X2) => ((good_in_maths @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 7.38/7.60 thf(sP4,plain,sP4 <=> (![X1:mu]:(((maths_teacher @ X1) @ eigen__0) => (![X2:$i]:(((r4 @ eigen__0) @ X2) => ((good_in_maths @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 7.38/7.60 thf(sP5,plain,sP5 <=> (![X1:$i]:(![X2:mu]:(((maths_teacher @ X2) @ X1) => (![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 7.38/7.60 thf(sP6,plain,sP6 <=> (![X1:$i]:(((r4 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1))),introduced(definition,[new_symbols(definition,[sP6])])).
% 7.38/7.60 thf(sP7,plain,sP7 <=> ((!!) @ (maths_teacher @ john)),introduced(definition,[new_symbols(definition,[sP7])])).
% 7.38/7.60 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 7.38/7.60 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 7.38/7.60 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 7.38/7.60 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 7.38/7.60 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 7.38/7.60 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 7.38/7.60 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 7.38/7.60 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 7.38/7.60 thf(def_mvalid,definition,(mvalid = (!!))).
% 7.38/7.60 thf(conj,conjecture,(![X1:$i]:(~((![X2:mu]:(~((![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3)))))))))).
% 7.38/7.60 thf(h0,negated_conjecture,(~((![X1:$i]:(~((![X2:mu]:(~((![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3))))))))))),inference(assume_negation,[status(cth)],[conj])).
% 7.38/7.60 thf(h1,assumption,sP3,introduced(assumption,[])).
% 7.38/7.60 thf(1,plain,((~(sP2) | ~(sP1)) | sP6),inference(prop_rule,[status(thm)],[])).
% 7.38/7.60 thf(2,plain,(~(sP4) | sP2),inference(all_rule,[status(thm)],[])).
% 7.38/7.60 thf(3,plain,(~(sP3) | ~(sP6)),inference(all_rule,[status(thm)],[])).
% 7.38/7.60 thf(4,plain,(~(sP7) | sP1),inference(all_rule,[status(thm)],[])).
% 7.38/7.60 thf(5,plain,(~(sP5) | sP4),inference(all_rule,[status(thm)],[])).
% 7.38/7.60 thf(axiom_a6,axiom,(mvalid @ (maths_teacher @ john))).
% 7.38/7.60 thf(6,plain,sP7,inference(preprocess,[status(thm)],[axiom_a6]).
% 7.38/7.60 thf(axiom_r1,axiom,(mvalid @ (mforall_ind @ (^[X1:mu]:((mimplies @ (maths_teacher @ X1)) @ ((mbox @ r4) @ (good_in_maths @ X1))))))).
% 7.38/7.60 thf(7,plain,sP5,inference(preprocess,[status(thm)],[axiom_r1]).
% 7.38/7.60 thf(8,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,h1,6,7])).
% 7.38/7.60 thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,8,h1])).
% 7.38/7.60 thf(0,theorem,(![X1:$i]:(~((![X2:mu]:(~((![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[9,h0])).
% 7.38/7.60 % SZS output end Proof
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